1. The problem statement, all variables and given/known data Calculate the cross product of (3u+4w)xw assuming that uxv=<1,1,0>, uxw=<0,3,1), vxw<2,-1,-1) 2. Relevant equations Possible Relevant eqation: i) wxv=-vxw ii)vxv=0 iii)vxw=0 if and only w= λv for scalar λ or v=0 iV)(λv)xw=vx(λw)=λ(vxw) V) (u+v)xw= uxw+vxw ux(u+w)=uxv+uxw 3. The attempt at a solution So I have no real attempts, or attempts I feel were viable I feel like I'm doing guess work. I've tried using equation letter V to some how try to single out one of the vectors using projection formula, but then I realized it was saying (v+w)xU instead of (vxw)xu. But as you can see that is down a wrong path. I feel like this problem is an inside joke I'm just not getting lol. How do you isolate each vector, they aren't orthogonal to each other. It's almost like the only thing these three vectors have in common are the parent vectors each play part in two of the product vectors. The also doesn't have ANYTHING like this, so it may be something really basic I'm forgetting as an example.